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12991248 = 243290217
BaseRepresentation
bin110001100011…
…101100010000
3220110000122100
4301203230100
511311204443
61142240400
7215265234
oct61435420
926400570
1012991248
117373576
124426100
1328cb23a
141a225c4
1512193d3
hexc63b10

12991248 has 30 divisors (see below), whose sum is σ = 36357854. Its totient is φ = 4330368.

The previous prime is 12991229. The next prime is 12991249. The reversal of 12991248 is 84219921.

It can be written as a sum of positive squares in only one way, i.e., 12616704 + 374544 = 3552^2 + 612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12991249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44965 + ... + 45252.

Almost surely, 212991248 is an apocalyptic number.

12991248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12991248 is an abundant number, since it is smaller than the sum of its proper divisors (23366606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12991248 is a wasteful number, since it uses less digits than its factorization.

12991248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90231 (or 90222 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12991248 is about 3604.3373870935. The cubic root of 12991248 is about 235.0806905643.

The spelling of 12991248 in words is "twelve million, nine hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 90217 180434 270651 360868 541302 721736 811953 1082604 1443472 1623906 2165208 3247812 4330416 6495624 12991248